Finding the Third Proportional to 50,413 and 74,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,413 : 74,469.50 = 74,469.50 : x
2. Step 2: Convert to fraction form
   50,413/74,469.50 = 74,469.50/x
3. Step 3: Cross multiply
   50,413x = 74,469.50 × 74,469.50
4. Step 4: Simplify right side
   50,413x = 5,545,706,430.25
5. Step 5: Solve for x
   x = 5,545,706,430.25/50,413
6. Step 6: Final answer
   x = 110,005.48